Question

In the equation 3x + 7y = 21, at what point is the x-axis intersected?

Answer 1

To find:

The point at which the equation intersects the x-axis.

Solution:

The point at which the equation intersects the x-axis is the x-intercept.

Change the given equation into the intercept form as follows:

`\begin{gathered} 3x+7y=21 \\ (3x)/(21)+(7y)/(21)=(21)/(21) \\ (x)/(7)+(y)/(3)=1 \end{gathered}`

From the equation, it is clear that the x-intercept is 7. So, the point is (7, 0).

Thus, the answer is (7, 0).